| Full text | |
| Author(s): |
Agafonov, Sergey I.
[1]
Total Authors: 1
|
| Affiliation: | [1] Sao Paulo State Univ, UNESP, Dept Math, Sao Jose Do Rio Preto - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRY; v. 111, n. 3 NOV 11 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
Confocal conics form an orthogonal net. Supplementing this net with one of the following: (1) the net of Cartesian coordinate lines aligned along the principal axes of conics, (2) the net of Apollonian pencils of circles whose foci coincide with the foci of conics, (3) the net of tangents to a conic of the confocal family, we get a planar 4-web. We show that each of these 4-webs is of maximal rank and characterize confocal conics from the web theory viewpoint. (AU) | |
| FAPESP's process: | 18/20009-6 - Webs of maximal rank in mathematical physics |
| Grantee: | Serguei Agafonov |
| Support Opportunities: | Regular Research Grants |